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Finding the Fourth Proportional to 627.14, 864.86 and 496.46

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Solution

The fourth proportional to 627.14, 864.86 and 496.46 is: 684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.14 : 864.86 = 496.46 : x
  2. Step 2: Convert to fraction form
    627.14/864.86 = 496.46/x
  3. Step 3: Cross multiply
    627.14x = 864.86 × 496.46
  4. Step 4: Simplify right side
    627.14x = 429,368.40
  5. Step 5: Solve for x
    x = 429,368.40/627.14
  6. Step 6: Final answer
    x = 684.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.